The upshot is that as countries get richer, fertility rates decrease. Allowing these poorer countries to lead better lives will paradoxically lower the population increase. If you look at the western world, negating immigration, many countries have a shrinking population.
The more pressing problem of the future, ironically, will be under population - at least if you consider the economic impact and our way of life. Our economy right now is built on so much growth and young labor. What happens without poor countries and when more people are retired than working?
[0]http://annualletter.gatesfoundation.org/#myth-three=§ion...